2 papers
math.NA2022
A practical algorithm to minimize the overall error in FEM computations
Jie Liu, Henk M. Schuttelaars, Matthias Möller
Using the standard finite element method (FEM) to solve general partial differential equations, the round-off error is found to be proportional to , with the num…
math.NA2019
Balancing truncation and round-off errors in practical FEM: one-dimensional analysis
Jie Liu, Matthias Möller, Henk M. Schuttelaars
In finite element methods (FEMs), the accuracy of the solution cannot increase indefinitely because the round-off error increases when the number of degrees of freedom (DoFs) is la…